Prime p₀= 44418347033806019 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 32 10 12 30 14 4 98 4 14 30 12 10 32 (?)
a_n: 0 32 42 54 84 98 102 200 204 218 248 260 270 302
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 302
Found by: Cruncher Pete
db: batch=65, k=14, 32 10 12 30 14 4 98

SPT(14)	44418313129826653	0 6 34 70 106 160 180 190 210 264 300 336 364 370	-33903979366
SPT(14)	44418314355787391	0 12 18 56 68 90 116 132 158 180 192 230 236 248	-32678018628
SPT(14)	44418319708901659	0 28 52 54 70 72 100 132 160 162 178 180 204 232	-27324904360
SPT(14)	44418329348833841	0 20 32 78 90 92 98 120 126 128 140 186 198 218	-17684972178
SPT(14)	44418335942333401	0 12 58 88 90 126 132 136 142 178 180 210 256 268	-11091472618
SPT(14)	44418344788345753	0 24 30 64 66 96 124 180 208 238 240 274 280 304	-2245460266
STPT(10)	44418349634719481	0 2 36 38 78 80 120 122 156 158	2600913462
SPT(14)	44418357677650739	0 12 54 80 110 168 180 212 224 282 312 338 380 392	10643844720
TPT(12)	44418358666197779	0 2 48 50 90 92 198 200 222 224 282 284	11632391760
SPT(14)	44418374317591949	0 24 48 72 80 98 104 108 114 132 140 164 188 212	27283785930
SPT(14)	44418380411599391	0 2 26 66 72 98 110 138 150 176 182 222 246 248	33377793372